Weakly nonlinear surface waves in magnetohydrodynamics. I
DOI10.3233/ASY-201638zbMath1492.35230arXiv1807.00536OpenAlexW3087815158MaRDI QIDQ5155159
Jean-François Coulombel, Olivier Pierre
Publication date: 6 October 2021
Published in: Asymptotic Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00536
stabilitymagnetohydrodynamicssurface wavesWKB expansionweakly nonlinear analysiscurrent-vortex sheet
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Surface waves in solid mechanics (74J15) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Magnetohydrodynamics and electrohydrodynamics (76W05) Free boundary problems for PDEs (35R35) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Weak solutions to PDEs (35D30) Hamilton-Jacobi equations in mechanics (70H20) Hamilton-Jacobi equations (35F21)
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Cites Work
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- A priori estimates for 3D incompressible current-vortex sheets
- Local well-posedness of nonlocal Burgers equations.
- Internal rectification for elastic surface waves
- Nonlinear surface waves on an elastic solid
- Stability of incompressible current-vortex sheets
- Weakly nonlinear surface waves and subsonic phase boundaries
- The existence of current-vortex sheets in ideal compressible magnetohydrodynamics
- Nonlinear surface acoustic waves on an elastic solid of general anisotropy
- Analysis and computation for nonlinear elastic surface waves of permanent form
- Waveform evolution for nonlinear surface acoustic waves
- Nonlinear development of instabilities in supersonic vortex sheets. I. The basic kink modes
- Existence pour un problème de l'élastodynamique Neumann non linéaire en dimension 2. (Existence for an elasto-dynamic nonlinear Neumann problem in two dimensions)
- Generic rigorous asymptotic expansions for weakly nonlinear multidimensional oscillatory waves
- Analytic current-vortex sheets in incompressible magnetohydrodynamics
- Existence and stability for the 3D linearized constant-coefficient incompressible current-vortex sheets
- Nonlinear variational surface waves
- On the amplitude equations for weakly nonlinear surface waves
- Nonlinear surface waves on the plasma-vacuum interface
- On the existence of incompressible current-vortex sheets: study of a linearized free boundary value problem
- Fourier Analysis and Nonlinear Partial Differential Equations
- A Theory for Spontaneous Mach Stem Formation in Reacting Shock Fronts, I. The Basic Perturbation Analysis
- NOTE ON A PROBLEM OF MAGNETOHYDRODYNAMIC STABILITY
- Stability of Strong Discontinuities in Fluids and MHD
- Nonlinear surface waves on a tangential discontinuity in magnetohydrodynamics
- Geometric Optics for Rayleigh Wavetrains in d-Dimensional
- Nonlinear Stability of the Current‐Vortex Sheet to the Incompressible MHD Equations
- Hamiltonian Equations for Scale‐Invariant Waves
- Generic types and transitions in hyperbolic initial–boundary-value problems
- Coherent and focusing multidimensional nonlinear geometric optics
- WAVE TRANSMISSION IN DISPERSIVE MEDIA
- SHORT-TIME EXISTENCE FOR SCALE-INVARIANT HAMILTONIAN WAVES
- Initial boundary value problems for hyperbolic systems
- Well-posedness of the plasma–vacuum interface problem
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